Skip to main content
Licentiate thesis, 2012

Maximum likelihood estimation in signal analysis of MR spectroscopy

Löthgren, Pia


Proton magnetic resonance spectroscopy (MRS) is used to determine the concentration of metabolites in organic tissues, or to study metabolic changes in a non-invasive way. The complex-valued magnetic resonance spectroscopy signals are assumed to be disturbed by additive white noise. The distributional properties of the stochastic noise are studied. A statistical model for the magnitude and phase of the Fourier transformed magnetic resonance spectroscopy signal is introduced. Maximum likelihood estimators of the distributional parameters of this model are derived and asymptotic properties such as consistency, asymptotic normality and efficiency of the estimators are verified. A simulation study is used to test the findings and the model is tested on magnetic resonance spectroscopy data from a spectroscopy phantom and human brain data.


magnetic resonance spectroscopy; maximum likelihood estimation; Rice distribution; phase modeling

Published in

Rapport / Sveriges lantbruksuniversitet, Institutionen för skogsekonomi
2012, number: 135
ISBN: 978-91-576-9108-8
Publisher: Institutionen för Skogsekonomi, Sveriges lantbruksuniversitet

Authors' information

Löthgren, Pia
Swedish University of Agricultural Sciences, Department of Forest Economics

UKÄ Subject classification

Other Medical Engineering
Probability Theory and Statistics

URI (permanent link to this page)